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13481643843360 = 2532572113143551
BaseRepresentation
bin1100010000101111000010…
…0101111001111100100000
31202201211110221100212102200
43010023300211321330200
53231340401310441420
644401214235413200
72561005462620300
oct304136045717440
952654427325380
1013481643843360
114328595536000
1216189bb2b4200
1376a40cb75334
1434872d3cb600
15185a4da0db90
hexc42f0979f20

13481643843360 has 864 divisors, whose sum is σ = 58865431532544. Its totient is φ = 2801361024000.

The previous prime is 13481643843341. The next prime is 13481643843403. The reversal of 13481643843360 is 6334834618431.

13481643843360 is a `hidden beast` number, since 1 + 3 + 48 + 164 + 3 + 8 + 433 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13481643843297 and 13481643843306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93843585 + ... + 93987135.

It is an arithmetic number, because the mean of its divisors is an integer number (68131286496).

Almost surely, 213481643843360 is an apocalyptic number.

13481643843360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13481643843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29432715766272).

13481643843360 is an abundant number, since it is smaller than the sum of its proper divisors (45383787689184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13481643843360 is a wasteful number, since it uses less digits than its factorization.

13481643843360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143619 (or 143579 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 13481643843360 in words is "thirteen trillion, four hundred eighty-one billion, six hundred forty-three million, eight hundred forty-three thousand, three hundred sixty".